Elementary Geometry of Algebraic Curves

by Gibson
Elementary Geometry of Algebraic Curves cover
Good Books rating 3.58
Education and Reference
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  • ID: 7420
  • Added: 2025-12-14
  • Updated: 2025-12-14
  • ISBN: 9780521641401
  • Publisher: Cambridge University Press
  • Published: 1998-11-26
  • Reviews: 3

Elementary Geometry of Algebraic Curves offers an accessible introduction to plane algebraic curves, tailored for undergraduates in mathematics and postgraduate researchers in engineering and physical sciences. The book is richly illustrated and includes numerous worked examples and exercises, guiding readers from familiar lines and conics to more complex curves in the real affine plane. The text also delves into applications in number theory and extends the affine plane to the projective plane, providing deeper insights into the underlying geometry. /n/n By incorporating a minimal amount of algebra, the book leads to significant theorems like Bezout's and explores the ideas of linear systems to discuss the classical group structure on the cubic. This comprehensive approach makes it an invaluable resource for both students and professionals seeking to understand the geometric aspects of algebraic curves.

Reviews
Goodreads · Goodreads User · 2023-01-01
good 3.75

This book is a solid introduction to algebraic curves, but it can be challenging for beginners. The visual aids and exercises are particularly helpful.

This book is often praised for its clear and concise explanations of complex mathematical concepts. The author does an excellent job of breaking down the subject matter, making it more accessible to undergraduate students. However, some readers find the pace and depth of the material to be quite challenging, especially if they are new to the field. The inclusion of numerous diagrams and exercises is a highlight, as it provides practical applications of the theoretical concepts discussed.

Quick quotes

    A great introduction to algebraic curves with clear explanations.

    The visual aids and exercises are particularly helpful.

    Challenging but rewarding for those willing to put in the effort.

MathOverflow · MathOverflow User · 2016-11-11
mixed 3.00

This book is too difficult for beginners and is better suited for those with a stronger background in algebra. It is a good classical book but lacks modern updates.

The book is often recommended for its classical approach to algebraic curves, but it is not without its criticisms. Many readers find the material too advanced for an introductory level, suggesting that it is better suited for those with a more solid foundation in algebra. The lack of modern updates and contemporary examples is also a common point of feedback. However, for those who are prepared for the challenge, it offers a comprehensive and rigorous treatment of the subject.

Quick quotes

    A good classical book but lacks modern updates.

    Too difficult for beginners, better suited for those with a stronger background.

    Offers a comprehensive and rigorous treatment of the subject.

Cambridge University Press · The American Mathematical Monthly · 2007-06-01
great 4.00

The book is well-written and covers a broad range of topics, but some sections could benefit from more detailed explanations.

Reviewers from The American Mathematical Monthly have noted that the book is well-written and covers a broad range of topics in algebraic curves. The author's approach is systematic and logical, making it a valuable resource for students and researchers alike. However, some sections are criticized for being too brief or lacking in detail, which can make them difficult to follow. Despite this, the book is highly regarded for its comprehensive coverage and clear presentation of the material.

Quick quotes

    Well-written and covers a broad range of topics.

    A valuable resource for students and researchers.

    Some sections could benefit from more detailed explanations.

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